66288 has 20 divisors (see below), whose sum is σ = 171368. Its totient is φ = 22080.

The previous prime is 66271. The next prime is 66293. The reversal of 66288 is 88266.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

66288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 643 + ... + 738.

2⁶⁶²⁸⁸ is an apocalyptic number.

It is an amenable number.

66288 is an abundant number, since it is smaller than the sum of its proper divisors (105080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85684).

66288 is a wasteful number, since it uses less digits than its factorization.

66288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1386 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 66288 is about 257.4645606681. The cubic root of 66288 is about 40.4710965853.

The spelling of 66288 in words is "sixty-six thousand, two hundred eighty-eight".